Finding the Third Proportional to 39,748 and 85,590

Step by Step Solution

1. Step 1: Write the proportion equation
   39,748 : 85,590 = 85,590 : x
2. Step 2: Convert to fraction form
   39,748/85,590 = 85,590/x
3. Step 3: Cross multiply
   39,748x = 85,590 × 85,590
4. Step 4: Simplify right side
   39,748x = 7,325,648,100
5. Step 5: Solve for x
   x = 7,325,648,100/39,748
6. Step 6: Final answer
   x = 184,302.31